Numerical Solution of Fractional order Malaria Model via the Generalized Fractional Adams-Bashforth-Moulton Approach

A fractional-order mathematical model studies the effects of contact rate and recovery rate on Malaria transmission dynamics as this paper investigates different epidemiological characteristics of malaria infection. We put forward conditions to ensure the model solution uniqueness and performs an endemic equilibrium stability assessment through Lyapunov function application. Numerical simulations running the fractional Adams–Bashforth–Moulton method reveal how fractional-order values together with model parameters affect malaria control and dynamics. Numerical surface and contour plots reveal that Malaria prevalence rises when both contact rates and recovery rate increase but the recovery rate enhances the population's resistance against the disease spread. Decreasing contact rate in the population results in lower prevalence rates of malaria in the population.